Editor-in-Chief of the journal

Biographical note of the Editor-in-Chief:

Jie Xiao
PhD Peking, 1992
Alexander von Humboldt Research Fellow, 1999
Dean of Science Distinguished Scholar Medal, 2009

Dr. Jie Xiao Dr. Xiao's research and teaching interests lie in geometric analysis and partial differential equations. In particular, Dr. Xiao works on the interactions between harmonic analysis, complex variables and operator theory, but also applies techniques coming from function spaces and potential theory to the study of conformal-convex-differential geometry and heat-type equations and Navier-Stokes equations.

Here are some of his recent articles:

P-capacity vs surface-area, Adv. Math. 208(2017)1318-1336
Isoperimetry for semilinear torsion problems in Riemannian two-manifolds, Adv. Math. 229(2012)2379-2404
Toward best isoperimetric constants for (H1,BMO)-normal conformal metrics on Rn, n>=3, Adv. Math. 220(2009)540-559
The Qp Carleson measure problem, Adv. Math. 217(2008)2075-2088.
Sharp Sobolev and isoperimetric inequalities split twice, Adv. Math. 211(2007)417-435
Homogeneous endpoint Besov space embeddings by Hausdorff capacity and heat equation, Adv. Math. 207(2006)828-846

Meanwhile, Dr. Xiao is the author of the following monographs and texts:

Qa Analysis on Euclidean Spaces, De Gruyter, 2019
Gaussian Capacity Analysis (with L. Liu-D. Yang-W. Yuan), Lecture Notes in Math. 2225, Springer-Verlag, 2018
Integral and Functional Analysis, Nova Science Publishers, 2008
Geometric Qp Functions, Frontiers in Math., Birkhauser-Verlag, 2006
Elementary Number Theory, International Press, 2006.
Holomorphic Q Classes, Lecture Notes in Math. 1767, Springer-Verlag, 2001

In addition, Dr. Xiao serves as:

Editor-in-Chief of the Advances in Analysis and Geometry, 2018 - present
Editor-in-Chief of the Canadian Mathematical Bulletin, 2014-2019
Associate Editor of the Journal of Mathematical Analysis and Applications, 2007-present

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